Philip teaches a pottery painting class in order to save up money for a nice bike. In yesterday's class, 6 of the 8 students painted cereal bowls. If Philip randomly chose 5 of the pieces of pottery to glaze, fire, and set on the top shelf, what is the probability that all of them are cereal bowls?
For the first bowl: there are 6 cereal bowls and 8 bowls to choose from: 6/8
For the second bowl: there are 5 cereal bowls remaining and 7 bowls remaining: 5/7
For the third bowl: there are 4 cereal bowls remaining and 6 bowls remaining: 4/6
For the fourth bowl: there are 3 cereal bowls remaining and 5 bowls remaining: 3/5
For the fifth bowl: there are 2 cereal bowls remaining and 4 bowls remaining: 2/4
To find the final probability, multiply these fractions together: 6/8 x 5/7 x 4/6 x 3/5 x 2/4 =